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Simplifying 6(x + -5) + 12 = 3(x + -4) Reorder the terms: 6(-5 + x) + 12 = 3(x + -4) (-5 * 6 + x * 6) + 12 = 3(x + -4) (-30 + 6x) + 12 = 3(x + -4) Reorder the terms: -30 + 12 + 6x = 3(x + -4) Combine like terms: -30 + 12 = -18 -18 + 6x = 3(x + -4) Reorder the terms: -18 + 6x = 3(-4 + x) -18 + 6x = (-4 * 3 + x * 3) -18 + 6x = (-12 + 3x) Solving -18 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = -12 + 0 -18 + 3x = -12 Add '18' to each side of the equation. -18 + 18 + 3x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -12 + 18 3x = -12 + 18 Combine like terms: -12 + 18 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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